General 1D motion
•
Average velocity:
21
ave
x
x
x
ttt
υ
−
Δ
==
Δ−
•
Average acceleration:
ave
a
tt
t
−
Δ
•
Instantaneous velocity:
dx
dt
=
•
Instantaneous acceleration:
2
2
dd
a
dt
dt
x
0
Example
1. Particles
A
and
B
are moving along a straight line. Their positions are defined as
m and
m for
s.
32
1.5
10
20
40
A
xt
t
t
=−
+
+
−
43
2
(1/ 6)
(8 / 3)
5
15
10
B
xtt
t
t
=−−
+
+
01
t
≤≤
(a) At what time instant do these two particles have the same acceleration?
Ans
:
t
= 6 s
(b) Calculate the average acceleration of
A
during the interval between
t
= 2 s and
t
= 6 s.
Ans
:
−
16 m/s
2
2. The position of a particle moving along a straight line is given by
m for the duration of
s.
()
6
40
t
t
t
=− − +
08
t
(a) Draw the
,
, and
x
tta
t
−−
−
graphs.
x–t
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This note was uploaded on 04/06/2008 for the course PHYS 2305 taught by Professor Tschang during the Fall '08 term at Virginia Tech.
 Fall '08
 TSChang
 Physics, Acceleration

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